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Finding the Third Proportional to 246.16 and 530.93

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Solution

The third proportional to 246.16 and 530.93 is: 1,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.16 : 530.93 = 530.93 : x
  2. Step 2: Convert to fraction form
    246.16/530.93 = 530.93/x
  3. Step 3: Cross multiply
    246.16x = 530.93 × 530.93
  4. Step 4: Simplify right side
    246.16x = 281,886.33
  5. Step 5: Solve for x
    x = 281,886.33/246.16
  6. Step 6: Final answer
    x = 1,145.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.